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labwork [276]
2 years ago
13

What is the slope-intercept form of an equation of a line that passes through the point (0,-1) and is perpendicular to 5x-y=3?

Mathematics
1 answer:
Leona [35]2 years ago
8 0

Answer:

y = -1/5x - 1

Step-by-step explanation:

Perpendicular lines slopes are negative reciprocals of each other.

Write the given equation in the slope-intercept form: y = mx + b

5x - y = 3

-y = -5x + 3

y = 5x - 3       multiply by -1

The slope of the given line is 5 ( the coefficient of the x-term).

The slope of the new equation will -1/5 (this is the negative reciprocal of 5).

Next find "b"  using y = mx + b, the new slope -1/5 and the point (0, -1)

y = mx + b

-1 = -1/5(0) + b

-1 = 0 + b

-1 = b  

Now write the equation y = -1/5x - 1

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Which statement is true about the parts of this expression? 5/6 + 1/4x - y The constant is 5/6. The only coefficient is 1/4. The
andriy [413]

Answer:


Step-by-step explanation:

1/4 is the coefficient

x and y is the variables

5/6 is the constant but there could be a  equal to zero on the end giving you another constant

Therefor the only true statement is The only coefficient is 1/4.  

4 0
4 years ago
What is 79(554)+5(746)?
Gala2k [10]

Answer:

47496

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve the following equation in terms of y. Remember to use inverse operations to isolate the variable you are solving for. 2x+3
Ierofanga [76]
2x+3y=6
subtract 2x from both sides.
3y=6-2x
divide by 3 on all sides.
y=2-2/3x
5 0
3 years ago
Smokers: Out of 780 smokers, 376 have been divorced.
beks73 [17]

For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as

  • 95% confidence interval = (0.5352, 0.4462)
  • 95% confidence interval = (0.3424, 0.2894)
  • 53% increased risk of divorce for smokers.

<h3>What is the 95% confidence interval for smokers and non-smokers?</h3>

Generally, the equation for the Confidence interval is mathematically given as

p ± Z/2[p(1-p)]/n

Where

Z1/2=1-(0.05/2)

Z1/2=0.975

Read z table we have

Z score= 1.96

Hence

0.4907 ± 1.96 (0.4907)(1-0.4907)/485

0.4907±0.0445

Therefore

95% confidence interval = (0.5352, 0.4462)

b)

Z1/2 = 1- (0.05/2)

Z1/2 = 0.975

Z score= 1.96

0.3159 ± 1.96 (0.3159)(1-0.3159)/1184

0.3159±0.0265

Thereofore

95% confidence interval = (0.3424, 0.2894)

c)

In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.

Read more about Confidence interval

brainly.com/question/17097944

4 0
3 years ago
How many quarts, rounded to the nearest tenth, are in 50 liters?
valkas [14]

Answer: 52.9 quarts

Step-by-step explanation:

From the question, we are informed to calculate the number of quarts that are in 50 liters.

1 liter = 1.057 liquid quarts

50 liters will now be:

= 50 × 1.057

= 52.85

= 52.9 quarts

4 0
3 years ago
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